Solve

2^{x} = 64.

**Solution:- **

First, write each side of the equation with the same base.

2^{x} = 64

2^{x} = 2^{6}

Apply the one-to-one property of exponential functions, which states that for b>0 and b≠ 1, if b^{x} = b^{n}, then x = n.

By the one-to-one property of exponential function, since 2^{x} =2^{6}, x = 6.

The solution is x= 6.